origami, find volume of folded shape (VTRMC 2015 P2)
Source:
May 5, 2021
geometry
Problem Statement
The planar diagram below, with equilateral triangles and regular hexagons, sides length cm, is folded along the dashed edges of the polygons, to create a closed surface in three-dimensional Euclidean spaces. Edges on the periphery of the planar diagram are identified (or glued) with precisely one other edge on the periphery in a natural way. Thus, for example, will be joined to and will be joined to . Find the volume of the three-dimensional region enclosed by the resulting surface.
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